Analysis and Correction of Spectral Curvature in Hadamard Transform Spectrometer with DMD
QUAN Xiang-qian1,2, LIU Hua1*, LU Zhen-wu1, WANG Xiao-duo1,2, DANG Bo-shi1, CHEN Xiang-zi1,2, WANG Fang1
1. Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences,Changchun 130033,China 2. University of Chinese Academy of Sciences, Beijing 100049, China
Abstract:Due to the advantages of its low cost and high utilization rate of light energy and no moving parts,Hadamard transform spectrometer with DMD has become a focus in the research of spectrometer. In order to solve the reduction of spectral resolution caused by the spectral curvature of Hadamard transform spectrometer with DMD (Digital Micro-mirror Device), the spectral aliasing in the spectrometer was investigated. Firstly, the mathematical relationship of spectral aliasing to radius of spectral curvature was deduced. Then, two procedures were proposed to solve the spectral aliasing. One is making the DMD encoded spectral band accordant with the standard spectral band as far as possible by adjusting the DMD-encoded stripe,and another is correcting remaining spectral aliasing by means of data processing. Finally,by analyzing and correcting spectral curvature in six situations of the curvature radius of 15.8×104,7.8×104,9.7×104 μm and etc,we fit out the relationship of spectral aliasing and spectrum correction effect of spectral curvature to the curvature radius. The simulation indicates that the spectral resolution increases to the resolution of optical system. It shows that the proposed methods are universal, simple and effective in the improvement of spectral resolution.
全向前1,2,刘 华1*,卢振武1,王晓朵1,2,党博石1,陈祥子1,2,王 芳1 . 数字微镜哈达玛光谱仪谱线弯曲的分析与修正 [J]. 光谱学与光谱分析, 2016, 36(02): 555-560.
QUAN Xiang-qian1,2, LIU Hua1*, LU Zhen-wu1, WANG Xiao-duo1,2, DANG Bo-shi1, CHEN Xiang-zi1,2, WANG Fang1 . Analysis and Correction of Spectral Curvature in Hadamard Transform Spectrometer with DMD . SPECTROSCOPY AND SPECTRAL ANALYSIS, 2016, 36(02): 555-560.
[1] Hammaker R M, DeVerse R A, Asunskis D J, et al. Handbook of Vibrational Spectroscopy, 2002. [2] WU Ji-zong, HAN Yi-ping,DENG Jia-cheng, et al(吴继宗, 韩一平, 邓家诚, 等). Journal of Optics(光学学报), 1987, 7(3): 223. [3] Love S P. SPIE MOEMS-MEMS: Micro-and Nanofabrication. International Society for Optics and Photonics, 2009: 721007-721007-15. [4] Duncan Walter M, James N Malina, Rajeev Ramanath. Encoding Optical Spectra Using a DMD Array. U. S. Patent,No. 8, 144, 321. 27 Mar. 2012. [5] Qian Q M, Hu B L, Xu J, et al. Cross Strait Quad-Regional Radio Science and Wireless Technology Conference (CSQRWC). IEEE, 2011,2: 1437. [6] ZHOU Jin-song,Lü Qun-bo, XIANGLI Bin(周锦松, 吕群波, 相里斌). Acta Photonica Sinica(光子学报), 2005, 34(10): 1518. [7] HAO Peng, WU Yi-hui(郝 鹏, 吴一辉). Acta Photonica Sinica(光子学报), 2012, 41(5): 623. [8] Xu J, Hu B, Feng D, et al. Optics and Lasers in Engineering, 2012, 50(3): 458. [9] Calafiore G, Koshelev A, Dhuey S, et al. Light: Sciences & Applications, 2014, 3: e203. [10] DANG Bo-shi,LIU Hua,WANG Xiao-duo, et al(党博石, 刘 华, 王晓朵, 等). Journal of Photons(光子学报), 2013, 42(8): 902. [11] FENG Yu-tao, XIANG Yang(冯玉涛, 向 阳). Optics and Precision Engineering(光学 精密工程), 2009, 17(1): 20. [12] Xiang Dong, Arnold Mark A. Applied Spectroscopy,2011,65(10): 1170. [13] Wang L, Li Q, Wang H Y, et al. Light: Science & Applications, 2015, 4(1): e245. [14] Diedenhofen S L, Kufer D, Lasanta T, et al. Light: Science & Applications, 2015, 4(1): e234. [15] Zhang Zhihai, Mo Xiangxia, Guo Yuanjun, et al. Physics Procedia,2011,19: 110.